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A260606 Number of (n+2) X (5+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101. 1

%I #6 Jan 15 2022 22:35:48

%S 525,1136,3343,8736,26148,70906,217376,587980,1803868,4887108,

%T 15001422,40649252,124739782,337833308,1037043054,2809741952,

%U 8622275444,23356067132,71689360248,194209294956,596026346284,1614617758884

%N Number of (n+2) X (5+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101.

%C Column 5 of A260609.

%H R. H. Hardin, <a href="/A260606/b260606.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +46*a(n-4) -64*a(n-6) -380*a(n-8) +1850*a(n-10) +977*a(n-12) -18257*a(n-14) +30378*a(n-16) +47861*a(n-18) -234270*a(n-20) +259685*a(n-22) +208969*a(n-24) -296873*a(n-26) -430900*a(n-28) +647482*a(n-30) +752390*a(n-32) -398354*a(n-34) -706438*a(n-36) +135125*a(n-38) +924468*a(n-40) +365677*a(n-42) -415302*a(n-44) -1572792*a(n-46) +179717*a(n-48) +350505*a(n-50) +449303*a(n-52) -78094*a(n-54) +141078*a(n-56) -70816*a(n-58) -112028*a(n-60) -37664*a(n-62) -11652*a(n-64) -3044*a(n-66) -896*a(n-68) -496*a(n-70) -64*a(n-72) for n>75.

%e Some solutions for n=4

%e ..0..0..1..0..1..0..0....1..0..1..0..0..0..1....0..0..1..0..0..0..1

%e ..0..0..0..1..0..1..0....0..0..0..1..0..0..0....0..0..0..1..0..1..0

%e ..1..0..1..0..0..0..1....1..0..0..0..1..0..1....1..0..1..0..0..0..1

%e ..0..0..0..1..0..0..0....0..1..0..0..0..1..0....0..1..0..0..0..1..0

%e ..1..0..0..0..1..0..1....0..0..1..0..0..0..1....0..0..0..0..1..0..0

%e ..0..1..0..1..0..0..0....0..1..0..1..0..1..0....0..1..0..1..0..1..0

%Y Cf. A260609.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 29 2015

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Last modified August 25 22:58 EDT 2024. Contains 375454 sequences. (Running on oeis4.)